We have a vessel in shape of a cuboid partially filled with water. Its base is square with an area of `4.5dm^(2) (1dm=10cm)` and a vessel contains water up to `2 cm` height. Then we place wooden cube inside water. The wood has mass `4kg` and specific gravity `0.5`. The base of the wooden cube is horizontal. Find the height of water level above the base of the wooden block.

Options

A. 10cm
B. 5cm
C. 15cm
D. 7cm

Answer

A

Explanation

Pressure at `A` and `B` will be same
`m = a^(3)rho`
`4 = a^(3)xx500`
`a=1//5 m`
`P_(0) + rho gh=P_(0)+(mg)/(A)`
`h=10cm`